中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2496-2499.doi: 10.1088/1009-1963/15/11/005

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Onthe Rosen-Edelstein model andthe theoretical foundation of nonholonomicmechanics

李广成, 梅凤翔   

  1. Department ofMechanics, Beijing Institute of Technology Beijing100081,China
  • 收稿日期:2006-04-11 修回日期:2006-06-26 出版日期:2006-11-20 发布日期:2006-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10272021 and 10572021) and the Doctoral Programme Foundation of Institution of Higher Education of China (Grant No 20040007022).

On the Rosen-Edelstein model andthe theoretical foundation of nonholonomicmechanics

Li Guang-Cheng(李广成)† and Mei Feng-Xiang(梅凤翔）   

  1. Department ofMechanics, Beijing Institute of Technology Beijing100081,China
  • Received:2006-04-11 Revised:2006-06-26 Online:2006-11-20 Published:2006-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10272021 and 10572021) and the Doctoral Programme Foundation of Institution of Higher Education of China (Grant No 20040007022).

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摘要： A new model in nonholonomic mechanics,the Rosen--Edelstein model, has been studied. We prove that the new model is a Lagrange problem in which the action integral $\int^{t_{1}}_{t_{0}}L\dd t$ can be made stationary.The theoretical basis of nonholonomic mechanics is investigated and discussed. Finally, we give the range of practical applications of theRosen--Edelstein model.

关键词: Rosen--Edelstein model, variational principles, nonholonomic constraints

Abstract: A new model in nonholonomic mechanics,the Rosen--Edelstein model, has been studied. We prove that the new model is a Lagrange problem in which the action integral $\int^{t_{1}}_{t_{0}}L$d$t$ can be made stationary.The theoretical basis of nonholonomic mechanics is investigated and discussed. Finally, we give the range of practical applications of theRosen--Edelstein model.

Key words: Rosen--Edelstein model, variational principles, nonholonomic constraints

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj